Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Differentialgeometrie


Herr Manuel Krannich Ph.D.
University of Cambridge

spricht am
Montag, 17. Dezember 2018
16:00 Uhr
Raum 2004 (L1)
über das Thema:

»On the signature of bundles over surfaces«

By a result of Meyer, the signature of a closed topological manifold that fibres over an oriented surface with fibre $M$ is divisible by $4$. I will discuss a refinement of Meyer’s result in the case where $M$ is highly connected and almost parallelisable: for smooth bundles, this restriction causes the divisibility of the signature to grow at least exponentially in the dimension, whereas for topological ones, Meyer’s divisibility constraint is optimal up to a factor of $2$. This is partly based on joint work with J. Reinhold.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).

[Impressum]      [Datenschutz],     Mi 24-Okt-2018 13:40:39 MESZ